Solve (C)=13/7+(-8/7)div(-4/5)

$$( C ) = \frac { 13 } { 7 } + ( - \frac { 8 } { 7 } ) \div ( - \frac { 4 } { 5 } )$$

Solve for C

$$C = \frac{23}{7} = 3\frac{2}{7} \approx 3.285714286$$

Steps for Solving Linear Equation

Divide -\frac{8}{7} by -\frac{4}{5} by multiplying -\frac{8}{7} by the reciprocal of -\frac{4}{5}.

$$C=\frac{13}{7}-\frac{8}{7}\left(-\frac{5}{4}\right)$$

Multiply -\frac{8}{7} times -\frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$C=\frac{13}{7}+\frac{-8\left(-5\right)}{7\times 4}$$

Do the multiplications in the fraction \frac{-8\left(-5\right)}{7\times 4}.

$$C=\frac{13}{7}+\frac{40}{28}$$

Reduce the fraction \frac{40}{28} to lowest terms by extracting and canceling out 4.

$$C=\frac{13}{7}+\frac{10}{7}$$

Since \frac{13}{7} and \frac{10}{7} have the same denominator, add them by adding their numerators.

$$C=\frac{13+10}{7}$$

Add 13 and 10 to get 23.

$$C=\frac{23}{7}$$

Assign C

$$C≔\frac{23}{7}$$